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Finding the Fourth Proportional to 868.24, 1,299.12 and 578.08

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Solution

The fourth proportional to 868.24, 1,299.12 and 578.08 is: 864.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.24 : 1,299.12 = 578.08 : x
  2. Step 2: Convert to fraction form
    868.24/1,299.12 = 578.08/x
  3. Step 3: Cross multiply
    868.24x = 1,299.12 × 578.08
  4. Step 4: Simplify right side
    868.24x = 750,995.29
  5. Step 5: Solve for x
    x = 750,995.29/868.24
  6. Step 6: Final answer
    x = 864.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.